%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO266+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 01:38:49 PM UTC 2025
% Result : Theorem 15.37s 2.28s
% Output : CNFRefutation 15.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 67 ( 14 unt; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 154 ( 65 ~; 76 |; 5 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 6 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,plain,
! [L,M] :
( unequally_directed_opposite_lines(L,M)
<=> unequally_directed_opposite_lines(M,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(con_negated,plain,
~ ! [L,M] :
( unequally_directed_opposite_lines(L,M)
<=> unequally_directed_opposite_lines(M,L) ),
inference(negate_conjecture,[status(cth)],[con]) ).
cnf(66,plain,
( unequally_directed_opposite_lines(sK2,sK1)
| unequally_directed_opposite_lines(sK1,sK2) ),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l0,plain,
( unequally_directed_opposite_lines(sK2,sK1)
| unequally_directed_opposite_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[66]) ).
fof(a7_defns,plain,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,M)
& unequally_directed_opposite_lines(L,M) ) ),
file('Axioms/GEO009+0.ax',a7_defns) ).
cnf(15,plain,
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf,[status(esa)],[a7_defns]) ).
cnf(l2,plain,
( ~ unequally_directed_opposite_lines(sK1,sK2)
| ~ unequally_directed_lines(sK1,sK2)
| convergent_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[15]) ).
fof(ax6_basics,plain,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
file('Axioms/GEO009+0.ax',ax6_basics) ).
cnf(38,plain,
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf,[status(esa)],[ax6_basics]) ).
cnf(l4,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK1))
| unequally_directed_lines(sK1,sK2)
| unequally_directed_lines(reverse_line(sK1),sK2) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(13,plain,
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf,[status(esa)],[a7_defns]) ).
cnf(l175,plain,
( ~ convergent_lines(sK1,sK2)
| unequally_directed_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[13]) ).
fof(ax9_basics,plain,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('Axioms/GEO009+0.ax',ax9_basics) ).
cnf(44,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[ax9_basics]) ).
cnf(l177,plain,
( ~ unequally_directed_lines(sK1,sK2)
| ~ unequally_directed_lines(sK1,reverse_line(sK2))
| left_convergent_lines(sK1,sK2)
| left_convergent_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[44]) ).
fof(a1_defns,plain,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('Axioms/GEO009+0.ax',a1_defns) ).
cnf(0,plain,
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[a1_defns]) ).
cnf(l179,plain,
( ~ unequally_directed_opposite_lines(sK1,sK2)
| unequally_directed_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
( ~ unequally_directed_lines(reverse_line(sK1),sK2)
| unequally_directed_lines(reverse_line(sK1),reverse_line(sK1))
| unequally_directed_lines(sK2,reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[38]) ).
fof(ax11_basics,plain,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('Axioms/GEO009+0.ax',ax11_basics) ).
cnf(47,plain,
~ left_convergent_lines(X0,X1),
inference(cnf,[status(esa)],[ax11_basics]) ).
cnf(l184,plain,
~ left_convergent_lines(sK1,reverse_line(sK2)),
inference(instantiation,[status(thm)],[47]) ).
cnf(1,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf,[status(esa)],[a1_defns]) ).
cnf(l54,plain,
( ~ unequally_directed_lines(sK2,reverse_line(sK1))
| unequally_directed_opposite_lines(sK2,sK1) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(67,plain,
( ~ unequally_directed_opposite_lines(sK2,sK1)
| ~ unequally_directed_opposite_lines(sK1,sK2) ),
inference(cnf,[status(esa)],[con_negated]) ).
cnf(l64,plain,
( ~ unequally_directed_opposite_lines(sK2,sK1)
| ~ unequally_directed_opposite_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[67]) ).
cnf(l182,plain,
~ left_convergent_lines(sK1,sK2),
inference(instantiation,[status(thm)],[47]) ).
cnf(l1,plain,
( ~ unequally_directed_opposite_lines(sK2,sK1)
| ~ unequally_directed_lines(sK2,sK1)
| convergent_lines(sK2,sK1) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l9,plain,
( ~ unequally_directed_lines(reverse_line(sK1),sK1)
| ~ unequally_directed_lines(reverse_line(sK1),reverse_line(sK1))
| left_convergent_lines(reverse_line(sK1),sK1)
| left_convergent_lines(reverse_line(sK1),reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l82,plain,
( ~ convergent_lines(sK2,sK1)
| unequally_directed_lines(sK2,sK1) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(48,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf,[status(esa)],[ax11_basics]) ).
cnf(l79,plain,
~ left_convergent_lines(reverse_line(sK1),reverse_line(sK1)),
inference(instantiation,[status(thm)],[48]) ).
cnf(l69,plain,
( ~ unequally_directed_lines(reverse_line(sK1),reverse_line(sK1))
| unequally_directed_lines(reverse_line(sK1),sK1)
| unequally_directed_lines(reverse_line(sK1),sK1) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l5,plain,
( ~ unequally_directed_lines(sK1,parallel_through_point(reverse_line(sK1),X1_239))
| unequally_directed_lines(sK1,reverse_line(sK1))
| unequally_directed_lines(parallel_through_point(reverse_line(sK1),X1_239),reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l14,plain,
( ~ unequally_directed_lines(sK1,sK1)
| unequally_directed_lines(sK1,parallel_through_point(reverse_line(sK1),X1_239))
| unequally_directed_lines(sK1,parallel_through_point(reverse_line(sK1),X1_239)) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l70,plain,
~ left_convergent_lines(reverse_line(sK1),sK1),
inference(instantiation,[status(thm)],[47]) ).
cnf(l3,plain,
( ~ unequally_directed_lines(reverse_line(sK2),sK2)
| unequally_directed_lines(reverse_line(sK2),sK1)
| unequally_directed_lines(sK2,sK1) ),
inference(instantiation,[status(thm)],[38]) ).
fof(ax8_basics,plain,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('Axioms/GEO009+0.ax',ax8_basics) ).
cnf(43,plain,
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf,[status(esa)],[ax8_basics]) ).
cnf(l21,plain,
( unequally_directed_lines(sK1,sK1)
| unequally_directed_lines(sK1,reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[43]) ).
fof(ax7_basics,plain,
! [L,M,N] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( ( unequally_directed_lines(L,N)
& unequally_directed_lines(L,reverse_line(N)) )
| ( unequally_directed_lines(M,N)
& unequally_directed_lines(M,reverse_line(N)) ) ) ),
file('Axioms/GEO009+0.ax',ax7_basics) ).
cnf(39,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X2)
| sP2(X1,X2) ),
inference(cnf,[status(esa)],[ax7_basics]) ).
cnf(l8,plain,
( ~ unequally_directed_lines(reverse_line(sK2),reverse_line(sK2))
| ~ unequally_directed_lines(reverse_line(sK2),reverse_line(reverse_line(sK2)))
| unequally_directed_lines(reverse_line(sK2),sK2)
| sP2(reverse_line(sK2),sK2) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(41,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| ~ sP2(X0,X1) ),
inference(cnf,[status(esa)],[ax7_basics]) ).
cnf(l15,plain,
( unequally_directed_lines(reverse_line(sK2),reverse_line(sK2))
| ~ sP2(reverse_line(sK2),sK2) ),
inference(instantiation,[status(thm)],[41]) ).
fof(a4_defns,plain,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
file('Axioms/GEO009+0.ax',a4_defns) ).
cnf(6,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(cnf,[status(esa)],[a4_defns]) ).
cnf(l236,plain,
( ~ unequally_directed_lines(parallel_through_point(reverse_line(sK1),X1_239),reverse_line(sK1))
| ~ equally_directed_lines(parallel_through_point(reverse_line(sK1),X1_239),reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l10,plain,
( unequally_directed_lines(reverse_line(sK2),sK2)
| unequally_directed_lines(reverse_line(sK2),reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[43]) ).
fof(ax10_cons_objs,plain,
! [A,L] : equally_directed_lines(parallel_through_point(L,A),L),
file('Axioms/GEO009+0.ax',ax10_cons_objs) ).
cnf(60,plain,
equally_directed_lines(parallel_through_point(X0,X1),X0),
inference(cnf,[status(esa)],[ax10_cons_objs]) ).
cnf(l239,plain,
equally_directed_lines(parallel_through_point(reverse_line(sK1),X1_239),reverse_line(sK1)),
inference(instantiation,[status(thm)],[60]) ).
cnf(l16,plain,
( ~ unequally_directed_lines(reverse_line(sK2),reverse_line(sK2))
| unequally_directed_lines(reverse_line(sK2),sK2)
| unequally_directed_lines(reverse_line(sK2),sK2) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l85,plain,
( ~ unequally_directed_lines(sK2,sK1)
| ~ unequally_directed_lines(sK2,reverse_line(sK1))
| left_convergent_lines(sK2,sK1)
| left_convergent_lines(sK2,reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l92,plain,
( ~ unequally_directed_opposite_lines(sK2,sK1)
| unequally_directed_lines(sK2,reverse_line(sK1)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l13,plain,
( unequally_directed_lines(reverse_line(sK2),reverse_line(sK2))
| unequally_directed_lines(reverse_line(sK2),reverse_line(reverse_line(sK2))) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(l17,plain,
( ~ unequally_directed_lines(reverse_line(sK2),reverse_line(sK2))
| unequally_directed_lines(reverse_line(sK2),reverse_line(reverse_line(sK2)))
| unequally_directed_lines(reverse_line(sK2),reverse_line(reverse_line(sK2))) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l93,plain,
~ left_convergent_lines(sK2,reverse_line(sK1)),
inference(instantiation,[status(thm)],[48]) ).
cnf(l91,plain,
~ left_convergent_lines(sK2,sK1),
inference(instantiation,[status(thm)],[47]) ).
cnf(l39,plain,
( ~ unequally_directed_lines(reverse_line(sK2),sK1)
| unequally_directed_lines(reverse_line(sK2),reverse_line(sK2))
| unequally_directed_lines(sK1,reverse_line(sK2)) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l135,plain,
( ~ unequally_directed_lines(reverse_line(sK2),reverse_line(sK2))
| ~ unequally_directed_lines(reverse_line(sK2),reverse_line(reverse_line(sK2)))
| left_convergent_lines(reverse_line(sK2),reverse_line(sK2))
| left_convergent_lines(reverse_line(sK2),reverse_line(reverse_line(sK2))) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l138,plain,
( ~ unequally_directed_lines(reverse_line(sK2),reverse_line(sK2))
| unequally_directed_lines(reverse_line(sK2),reverse_line(reverse_line(sK2)))
| unequally_directed_lines(reverse_line(sK2),reverse_line(reverse_line(sK2))) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(l148,plain,
~ left_convergent_lines(reverse_line(sK2),reverse_line(sK2)),
inference(instantiation,[status(thm)],[47]) ).
cnf(l143,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK2))
| unequally_directed_opposite_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l145,plain,
( ~ unequally_directed_opposite_lines(sK2,sK1)
| ~ unequally_directed_opposite_lines(sK1,sK2) ),
inference(instantiation,[status(thm)],[67]) ).
cnf(l139,plain,
~ left_convergent_lines(reverse_line(sK2),reverse_line(reverse_line(sK2))),
inference(instantiation,[status(thm)],[48]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l4,l175,l177,l179,l7,l184,l54,l64,l182,l1,l9,l82,l79,l69,l5,l14,l70,l3,l21,l8,l15,l236,l10,l239,l16,l85,l92,l13,l17,l93,l91,l39,l135,l138,l148,l143,l145,l139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO266+3 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n027.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Jul 20 11:53:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 9
% 0.09/0.30 % launching worker at depth: 10
% 0.13/0.31 % launching worker at depth: 11
% 2.50/0.61 % launching worker at depth: 12
% 15.37/2.28 % SZS status Theorem for theBenchmark
% 15.37/2.28 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------